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Verwer, Jan G.

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Author ID: verwer.jan-g Recent zbMATH articles by "Verwer, Jan G."
Published as: Verwer, J. G.; Verwer, Jan; Verwer, Jan G.; Verwer, J.
Documents Indexed: 128 Publications since 1974, including 26 Books
Biographic References: 1 Publication

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Citations contained in zbMATH Open

105 Publications have been cited 2,252 times in 1,555 Documents Cited by Year
Numerical solution of time-dependent advection-diffusion-reaction equations. Zbl 1030.65100
Hundsdorfer, Willem; Verwer, Jan
432
2003
Stability of Runge-Kutta methods for stiff nonlinear differential equations. Zbl 0571.65057
Dekker, K.; Verwer, J. G.
373
1984
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
64
1997
RKC: An explicit solver for parabolic PDEs. Zbl 0910.65067
Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.
57
1998
Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling. Zbl 0949.65090
Lanser, D.; Verwer, J. G.
56
1999
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
55
1986
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations. Zbl 0589.65069
Sanz-Serna, J. M.; Verwer, J. G.; Hundsdorfer, W. H.
53
1987
Convergence properties of the Runge-Kutta-Chebyshev method. Zbl 0697.65072
Verwer, J. G.; Hundsdorfer, W. H.; Sommeijer, B. P.
52
1990
A second-order Rosenbrock method applied to photochemical dispersion problems. Zbl 0928.65116
Verwer, J. G.; Spee, E. J.; Blom, J. G.; Hundsdorfer, W.
52
1999
RKC time-stepping for advection-diffusion-reaction problems. Zbl 1059.65085
Verwer, J. G.; Sommeijer, B. P.; Hundsdorfer, W.
47
2004
A positive finite-difference advection scheme. Zbl 0860.65073
Hundsdorfer, W.; Koren, B.; van Loon, M.; Verwer, J. G.
45
1995
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
43
1996
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
38
2001
A study of B-convergence of Runge-Kutta methods. Zbl 0572.65053
Burrage, K.; Hundsdorfer, W. H.; Verwer, J. G.
35
1986
An implicit-explicit Runge–Kutta–Chebyshev scheme for diffusion-reaction equations. Zbl 1061.65090
Verwer, J. G.; Sommeijer, B. P.
34
2004
A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines. Zbl 0705.65066
Furzeland, R. M.; Verwer, J. G.; Zegeling, P. A.
32
1990
Convergence of method of lines approximations to partial differential equations. Zbl 0546.65064
Verwer, J. G.; Sanz-Serna, J. M.
32
1984
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
32
2007
An implicit-explicit approach for atmospheric transport-chemistry problems. Zbl 0853.76092
Verwer, J. G.; Blom, J. G.; Hundsdorfer, W.
30
1996
Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65052
Axelsson, A. O. H.; Verwer, J. G.
29
1985
A note on splitting errors for advection-reaction equations. Zbl 0833.65099
Hundsdorfer, W.; Verwer, J. G.
23
1995
Operator splitting and approximate factorization for taxis-diffusion-reaction models. Zbl 0998.65102
Gerisch, A.; Verwer, J. G.
23
2002
Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems. Zbl 0689.65064
Hundsdorfer, W. H.; Verwer, J. G.
22
1989
Gauss-Seidel iteration for stiff ODEs from chemical kinetics. Zbl 0804.65068
Verwer, J. G.
22
1994
Solving parabolic integro-differential equations by an explicit integration method. Zbl 0746.65102
Murthy, A. S. Vasudeva; Verwer, J. G.
20
1992
On global error estimation and control for initial value problems. Zbl 1145.65047
Lang, J.; Verwer, J. G.
20
2007
Numerical time integration for air pollution models. Zbl 0999.65097
Verwer, Jan G.; Hundsdorfer, Willem H.; Blom, Joke G.
19
2002
On simple moving grid methods for one-dimensional evolutionary partial differential equations. Zbl 0645.65060
Blom, J. G.; Sanz-Serna, J. M.; Verwer, J. G.
19
1988
One-step splitting methods for semi-discrete parabolic equations. Zbl 0396.65053
van der Houwen, P. J.; Verwer, J. G.
18
1979
Convergence and order reduction of diagonally implicit Runge-Kutta schemes in the method of lines. Zbl 0642.65066
Verwer, J. G.
18
1986
Stability and convergence at the PDE/stiff ODE interface. Zbl 0671.65078
Sanz-Serna, J. M.; Verwer, J. G.
18
1989
A moving grid method for one-dimensional PDEs based on the method of lines. Zbl 0697.65086
Verwer, J. G.; Blom, J. G.; Furzeland, R. M.; Zegeling, P. A.
16
1989
IRKC: an IMEX solver for stiff diffusion-reaction PDEs. Zbl 1100.65075
Shampine, L. F.; Sommeijer, B. P.; Verwer, J. G.
15
2006
Component splitting for semi-discrete Maxwell equations. Zbl 1221.65247
Verwer, J. G.
14
2011
Numerical integration of damped Maxwell equations. Zbl 1229.78026
Botchev, M. A.; Verwer, J. G.
14
2009
An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics. Zbl 0810.65068
Verwer, J. G.; van Loon, M.
14
1994
Time integration of the shallow water equations in spherical geometry. Zbl 1051.76047
Lanser, D.; Blom, J. G.; Verwer, J. G.
14
2001
Supplement to Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65053
Axelsson, A. O. H.; Verwer, J. G.
14
1985
Unconditionally stable integration of Maxwell’s equations. Zbl 1170.78004
Verwer, J. G.; Botchev, M. A.
13
2009
An adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0675.65098
Verwer, J. G.; Blom, J. G.; Sanz-Serna, J. M.
13
1989
Global extrapolation of a first order splitting method. Zbl 0592.65060
Verwer, J. G.; De Vries, H. B.
13
1985
Explicit methods for stiff ODEs from atmospheric chemistry. Zbl 0839.65078
Verwer, J. G.; Simpson, D.
12
1995
A static-regridding method for two-dimensional parabolic partial differential equations. Zbl 0745.65057
Trompert, R. A.; Verwer, J. G.
11
1991
On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. Zbl 0453.65062
Sommeijer, B. P.; van der Houwen, P. J.; Verwer, J. G.
11
1981
S-stability properties for generalized Runge-Kutta methods. Zbl 0336.65036
Verwer, J. G.
11
1977
An implementation of a class of stabilized explicit methods for the time integration of parabolic equations. Zbl 0431.65069
Verwer, J. G.
11
1980
Algorithm 758: VLUGR2: A vectorizable adaptive-grid solver for PDEs in 2D. Zbl 0884.65094
Blom, J. G.; Trompert, R. A.; Verwer, J. G.
10
1996
A comparison of integration methods for atmospheric transport-chemistry problems. Zbl 1010.76066
Blom, J. G.; Verwer, J. G.
9
2000
Convergence analysis of one-step schemes in the method of lines. Zbl 0671.65077
Sanz-Serna, J. M.; Verwer, J. G.
9
1989
W-methods in optimal control. Zbl 1269.65063
Lang, J.; Verwer, J. G.
8
2013
Analysis of the implicit Euler local uniform grid refinement method. Zbl 0772.65067
Trompert, R. A.; Verwer, J. G.
8
1993
VLUGR3: A vectorizable adaptive grid solver for PDEs in 3D. I: Algorithmic aspects and applications. Zbl 0816.65049
Blom, J. G.; Verwer, J. G.
8
1994
A study of the recursion \(y_{n+1}=y_ n+\tau y^ m_ n\). Zbl 0599.65086
Sanz-Serna, J. M.; Verwer, J. G.
8
1986
A new approximate matrix factorization for implicit time integration in air pollution modeling. Zbl 1031.65106
Botchev, M. A.; Verwer, J. G.
7
2003
On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root. Zbl 0326.65045
Verwer, J. G.
7
1977
On the practical value of the notion of BN-stability. Zbl 0476.65055
Verwer, J. G.
6
1981
An analysis of Rosenbrock methods for nonlinear stiff initial value problems. Zbl 0478.65045
Verwer, J. G.
6
1982
Contractivity of locally one-dimensional splitting methods. Zbl 0539.65082
Verwer, J. G.
6
1984
Runge-Kutta methods and viscous wave equations. Zbl 1167.65052
Verwer, J. G.
6
2009
Internal S-stability for generalized Runge-Kutta methods. Zbl 0319.65044
Verwer, J. G.
6
1975
Runge-Kutta methods and local uniform grid refinement. Zbl 0778.65065
Trompert, R. A.; Verwer, J. G.
6
1993
On the coupled solution of diffusion and chemistry in air pollution models. Zbl 0925.65230
Verwer, J. G.; Blom, J. G.
6
1996
A performance evaluation of a class of Runge-Kutta-Chebyshev methods for solving semi-discrete parabolic differential equations. Zbl 0441.65070
Sommeijer, B. P.; Verwer, J. G.
6
1980
On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations. Zbl 0621.65111
ten Thije Boonkkamp, J. H. M.; Verwer, J. G.
6
1987
Estimating the global error of Runge-Kutta approximations for ordinary differential equations. Zbl 0512.65054
Dekker, K.; Verwer, J. G.
5
1983
A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations. Zbl 0516.65053
Verwer, J. G.; Scholz, S.; Blom, J. G.; Louter-Nool, M.
5
1983
On the numerical solution of diffusion-reaction equations with singular source terms. Zbl 1138.65065
Ashyraliyev, M.; Blom, J. G.; Verwer, J. G.
5
2008
S-stability and stiff-accuracy for two classes of generalized integration methods. Zbl 0306.65045
Verwer, J. G.
5
1975
Spatial discretization of the shallow water equations in spherical geometry using Osher’s scheme. Zbl 1043.76044
Lanser, D.; Blom, J. G.; Verwer, J. G.
5
2000
A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations. Zbl 0373.65030
Verwer, J. G.
5
1977
On stabilized integration for time-dependent PDEs. Zbl 1119.65382
Sommeijer, B. P.; Verwer, J. G.
5
2007
Computing brine transport in porous media with an adaptive-grid method. Zbl 0825.76550
Trompert, R. A.; Verwer, J. G.; Blom, J. G.
4
1993
Rosenbrock methods and time-lagged Jacobian matrices. Zbl 0501.65032
Verwer, J. G.; Scholz, S.
4
1983
Analysis of local uniform grid refinement. Zbl 0789.65076
Verwer, J. G.; Trompert, R. A.
4
1993
Analysis of an adaptive finite-difference method for time dependent PDEs. Zbl 0796.65094
Verwer, J. G.; Trombert, R. A.
4
1992
Multipoint multistep Runge-Kutta methods. I: On a class of two-step methods for parabolic equations. Zbl 0332.65043
Verwer, J. G.
4
1976
Multipoint multistep Runge-Kutta methods. II: The construction of a class of stabilized three-step methods for parabolic equations. Zbl 0332.65044
Verwer, J. G.
4
1976
Generalized linear multistep methods. I: Development of algorithms with zero-parasitic roots. Zbl 0353.65052
van der Houwen, P. J.; Verwer, J. G.
4
1974
Application of a moving grid method to a class of 1D brine transport problems in porous media. Zbl 0781.76063
Zegeling, P. A.; Verwer, J. G.; van Eijkeren, J. C. H.
3
1992
Linear stability of the hopscotch scheme. Zbl 0684.65089
Hundsdorfer, W. H.; Verwer, J. G.
3
1989
Instructive experiments with some Runge-Kutta-Rosenbrock methods. Zbl 0481.65037
Verwer, Jan G.
3
1982
A note on a Runge-Kutta-Chebyshev method. Zbl 0531.65040
Verwer, J. G.
3
1982
Composition methods, Maxwell’s equations, and source terms. Zbl 1263.78015
Verwer, J. G.
3
2012
Generalized linear multistep methods. II: Numerical applications. Zbl 0287.65044
Verwer, J. G.
3
1974
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver. Zbl 1029.76038
Lastdrager, Boris; Koren, Barry; Verwer, Jan
3
2001
The sparse-grid combination technique applied to time-dependent advection problems. Zbl 0984.65087
Lastdrager, Boris; Koren, Barry; Verwer, Jan
3
2001
Rosenbrock methods and time-lagged Jacobian matrices. Zbl 0427.65051
Verwer, J. G.; Scholz, S.
3
1980
A numerical study of mixed parabolic-gradient systems. Zbl 1013.65093
Verwer, J. G.; Sommeijer, B. P.
3
2001
Forced prey-predator oscillations. Zbl 0464.92020
Blom, J. G.; de Bruin, R.; Grasman, J.; Verwer, J. G.
2
1981
On generalized Runge-Kutta methods using an exact Jacobian at a non-step point. Zbl 0455.65054
Verwer, J. G.
2
1980
Algorithm 759: VLUGR3: A vectorizable adaptive-grid solver for PDEs in 3D. II: Code description. Zbl 0886.65093
Blom, J. G.; Verwer, J. G.
2
1996
Solving vertical transport and chemistry in air pollution models. Zbl 1108.86304
Berkvens, P. J. F.; Botchev, M. A.; Krol, M. C.; Peters, W.; Verwer, J. G.
2
2002
Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative. Zbl 0414.65057
van der Houwen, P. J.; Sommeijer, B. P.; Verwer, J. G.
2
1979
A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations. Zbl 0478.65044
Verwer, J. G.; Scholz, S.; Blom, J. G.; Louter-Nool, M.
1
1982
Stability in the method of lines. Zbl 0544.65062
Verwer, J. G.; Dekker, K.
1
1984
On a class of explicit three-step Runge-Kutta methods with extended real stability intervals. Zbl 0455.65055
Verwer, J. G.
1
1980
Instructive experiments with some Runge-Kutta-Rosenbrock methods. Zbl 0455.65056
Verwer, J. G.
1
1981
Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems. Zbl 0872.65085
Verwer, J. G.; Sommeijer, B. P.
1
1997
Vectorizing matrix operations arising from PDE discretization on 9-point stencils. Zbl 0807.65047
Blom, J. G.; Verwer, J. G.
1
1994
A general formulation of linear splitting methods for ordinary and partial differential equations. Zbl 0381.65040
van der Houwen, P. J.; Verwer, J. G.
1
1977
W-methods in optimal control. Zbl 1269.65063
Lang, J.; Verwer, J. G.
8
2013
Composition methods, Maxwell’s equations, and source terms. Zbl 1263.78015
Verwer, J. G.
3
2012
Component splitting for semi-discrete Maxwell equations. Zbl 1221.65247
Verwer, J. G.
14
2011
Numerical integration of damped Maxwell equations. Zbl 1229.78026
Botchev, M. A.; Verwer, J. G.
14
2009
Unconditionally stable integration of Maxwell’s equations. Zbl 1170.78004
Verwer, J. G.; Botchev, M. A.
13
2009
Runge-Kutta methods and viscous wave equations. Zbl 1167.65052
Verwer, J. G.
6
2009
On the numerical solution of diffusion-reaction equations with singular source terms. Zbl 1138.65065
Ashyraliyev, M.; Blom, J. G.; Verwer, J. G.
5
2008
A multirate time stepping strategy for stiff ordinary differential equations. Zbl 1113.65071
Savcenco, V.; Hundsdorfer, W.; Verwer, J. G.
32
2007
On global error estimation and control for initial value problems. Zbl 1145.65047
Lang, J.; Verwer, J. G.
20
2007
On stabilized integration for time-dependent PDEs. Zbl 1119.65382
Sommeijer, B. P.; Verwer, J. G.
5
2007
On time staggering for wave equations. Zbl 1128.65055
Verwer, J. G.
1
2007
IRKC: an IMEX solver for stiff diffusion-reaction PDEs. Zbl 1100.65075
Shampine, L. F.; Sommeijer, B. P.; Verwer, J. G.
15
2006
RKC time-stepping for advection-diffusion-reaction problems. Zbl 1059.65085
Verwer, J. G.; Sommeijer, B. P.; Hundsdorfer, W.
47
2004
An implicit-explicit Runge–Kutta–Chebyshev scheme for diffusion-reaction equations. Zbl 1061.65090
Verwer, J. G.; Sommeijer, B. P.
34
2004
Numerical solution of time-dependent advection-diffusion-reaction equations. Zbl 1030.65100
Hundsdorfer, Willem; Verwer, Jan
432
2003
A new approximate matrix factorization for implicit time integration in air pollution modeling. Zbl 1031.65106
Botchev, M. A.; Verwer, J. G.
7
2003
Operator splitting and approximate factorization for taxis-diffusion-reaction models. Zbl 0998.65102
Gerisch, A.; Verwer, J. G.
23
2002
Numerical time integration for air pollution models. Zbl 0999.65097
Verwer, Jan G.; Hundsdorfer, Willem H.; Blom, Joke G.
19
2002
Solving vertical transport and chemistry in air pollution models. Zbl 1108.86304
Berkvens, P. J. F.; Botchev, M. A.; Krol, M. C.; Peters, W.; Verwer, J. G.
2
2002
ROS3P – An accurate third-order Rosenbrock solver designed for parabolic problems. Zbl 0996.65099
Lang, J.; Verwer, J.
38
2001
Time integration of the shallow water equations in spherical geometry. Zbl 1051.76047
Lanser, D.; Blom, J. G.; Verwer, J. G.
14
2001
Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver. Zbl 1029.76038
Lastdrager, Boris; Koren, Barry; Verwer, Jan
3
2001
The sparse-grid combination technique applied to time-dependent advection problems. Zbl 0984.65087
Lastdrager, Boris; Koren, Barry; Verwer, Jan
3
2001
A numerical study of mixed parabolic-gradient systems. Zbl 1013.65093
Verwer, J. G.; Sommeijer, B. P.
3
2001
A comparison of integration methods for atmospheric transport-chemistry problems. Zbl 1010.76066
Blom, J. G.; Verwer, J. G.
9
2000
Spatial discretization of the shallow water equations in spherical geometry using Osher’s scheme. Zbl 1043.76044
Lanser, D.; Blom, J. G.; Verwer, J. G.
5
2000
Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling. Zbl 0949.65090
Lanser, D.; Verwer, J. G.
56
1999
A second-order Rosenbrock method applied to photochemical dispersion problems. Zbl 0928.65116
Verwer, J. G.; Spee, E. J.; Blom, J. G.; Hundsdorfer, W.
52
1999
RKC: An explicit solver for parabolic PDEs. Zbl 0910.65067
Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.
57
1998
On the stability of implicit-explicit linear multistep methods. Zbl 0887.65094
Frank, J.; Hundsdorfer, W.; Verwer, J. G.
64
1997
Stability analysis of an odd-even-line hopscotch method for three-dimensional advection-diffusion problems. Zbl 0872.65085
Verwer, J. G.; Sommeijer, B. P.
1
1997
Explicit Runge-Kutta methods for parabolic partial differential equations. Zbl 0868.65064
Verwer, J. G.
43
1996
An implicit-explicit approach for atmospheric transport-chemistry problems. Zbl 0853.76092
Verwer, J. G.; Blom, J. G.; Hundsdorfer, W.
30
1996
Algorithm 758: VLUGR2: A vectorizable adaptive-grid solver for PDEs in 2D. Zbl 0884.65094
Blom, J. G.; Trompert, R. A.; Verwer, J. G.
10
1996
On the coupled solution of diffusion and chemistry in air pollution models. Zbl 0925.65230
Verwer, J. G.; Blom, J. G.
6
1996
Algorithm 759: VLUGR3: A vectorizable adaptive-grid solver for PDEs in 3D. II: Code description. Zbl 0886.65093
Blom, J. G.; Verwer, J. G.
2
1996
A positive finite-difference advection scheme. Zbl 0860.65073
Hundsdorfer, W.; Koren, B.; van Loon, M.; Verwer, J. G.
45
1995
A note on splitting errors for advection-reaction equations. Zbl 0833.65099
Hundsdorfer, W.; Verwer, J. G.
23
1995
Explicit methods for stiff ODEs from atmospheric chemistry. Zbl 0839.65078
Verwer, J. G.; Simpson, D.
12
1995
Gauss-Seidel iteration for stiff ODEs from chemical kinetics. Zbl 0804.65068
Verwer, J. G.
22
1994
An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics. Zbl 0810.65068
Verwer, J. G.; van Loon, M.
14
1994
VLUGR3: A vectorizable adaptive grid solver for PDEs in 3D. I: Algorithmic aspects and applications. Zbl 0816.65049
Blom, J. G.; Verwer, J. G.
8
1994
Vectorizing matrix operations arising from PDE discretization on 9-point stencils. Zbl 0807.65047
Blom, J. G.; Verwer, J. G.
1
1994
Analysis of the implicit Euler local uniform grid refinement method. Zbl 0772.65067
Trompert, R. A.; Verwer, J. G.
8
1993
Runge-Kutta methods and local uniform grid refinement. Zbl 0778.65065
Trompert, R. A.; Verwer, J. G.
6
1993
Computing brine transport in porous media with an adaptive-grid method. Zbl 0825.76550
Trompert, R. A.; Verwer, J. G.; Blom, J. G.
4
1993
Analysis of local uniform grid refinement. Zbl 0789.65076
Verwer, J. G.; Trompert, R. A.
4
1993
Solving parabolic integro-differential equations by an explicit integration method. Zbl 0746.65102
Murthy, A. S. Vasudeva; Verwer, J. G.
20
1992
Analysis of an adaptive finite-difference method for time dependent PDEs. Zbl 0796.65094
Verwer, J. G.; Trombert, R. A.
4
1992
Application of a moving grid method to a class of 1D brine transport problems in porous media. Zbl 0781.76063
Zegeling, P. A.; Verwer, J. G.; van Eijkeren, J. C. H.
3
1992
A static-regridding method for two-dimensional parabolic partial differential equations. Zbl 0745.65057
Trompert, R. A.; Verwer, J. G.
11
1991
Convergence properties of the Runge-Kutta-Chebyshev method. Zbl 0697.65072
Verwer, J. G.; Hundsdorfer, W. H.; Sommeijer, B. P.
52
1990
A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines. Zbl 0705.65066
Furzeland, R. M.; Verwer, J. G.; Zegeling, P. A.
32
1990
Stability and convergence of the Peaceman-Rachford ADI method for initial-boundary value problems. Zbl 0689.65064
Hundsdorfer, W. H.; Verwer, J. G.
22
1989
Stability and convergence at the PDE/stiff ODE interface. Zbl 0671.65078
Sanz-Serna, J. M.; Verwer, J. G.
18
1989
A moving grid method for one-dimensional PDEs based on the method of lines. Zbl 0697.65086
Verwer, J. G.; Blom, J. G.; Furzeland, R. M.; Zegeling, P. A.
16
1989
An adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0675.65098
Verwer, J. G.; Blom, J. G.; Sanz-Serna, J. M.
13
1989
Convergence analysis of one-step schemes in the method of lines. Zbl 0671.65077
Sanz-Serna, J. M.; Verwer, J. G.
9
1989
Linear stability of the hopscotch scheme. Zbl 0684.65089
Hundsdorfer, W. H.; Verwer, J. G.
3
1989
On simple moving grid methods for one-dimensional evolutionary partial differential equations. Zbl 0645.65060
Blom, J. G.; Sanz-Serna, J. M.; Verwer, J. G.
19
1988
Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations. Zbl 0589.65069
Sanz-Serna, J. M.; Verwer, J. G.; Hundsdorfer, W. H.
53
1987
On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations. Zbl 0621.65111
ten Thije Boonkkamp, J. H. M.; Verwer, J. G.
6
1987
Conservative and nonconservative schemes for the solution of the nonlinear Schrödinger equation. Zbl 0593.65087
Sanz-Serna, J. M.; Verwer, J. G.
55
1986
A study of B-convergence of Runge-Kutta methods. Zbl 0572.65053
Burrage, K.; Hundsdorfer, W. H.; Verwer, J. G.
35
1986
Convergence and order reduction of diagonally implicit Runge-Kutta schemes in the method of lines. Zbl 0642.65066
Verwer, J. G.
18
1986
A study of the recursion \(y_{n+1}=y_ n+\tau y^ m_ n\). Zbl 0599.65086
Sanz-Serna, J. M.; Verwer, J. G.
8
1986
Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65052
Axelsson, A. O. H.; Verwer, J. G.
29
1985
Supplement to Boundary value techniques for initial value problems in ordinary differential equations. Zbl 0586.65053
Axelsson, A. O. H.; Verwer, J. G.
14
1985
Global extrapolation of a first order splitting method. Zbl 0592.65060
Verwer, J. G.; De Vries, H. B.
13
1985
Stability of Runge-Kutta methods for stiff nonlinear differential equations. Zbl 0571.65057
Dekker, K.; Verwer, J. G.
373
1984
Convergence of method of lines approximations to partial differential equations. Zbl 0546.65064
Verwer, J. G.; Sanz-Serna, J. M.
32
1984
Contractivity of locally one-dimensional splitting methods. Zbl 0539.65082
Verwer, J. G.
6
1984
Stability in the method of lines. Zbl 0544.65062
Verwer, J. G.; Dekker, K.
1
1984
Estimating the global error of Runge-Kutta approximations for ordinary differential equations. Zbl 0512.65054
Dekker, K.; Verwer, J. G.
5
1983
A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations. Zbl 0516.65053
Verwer, J. G.; Scholz, S.; Blom, J. G.; Louter-Nool, M.
5
1983
Rosenbrock methods and time-lagged Jacobian matrices. Zbl 0501.65032
Verwer, J. G.; Scholz, S.
4
1983
An analysis of Rosenbrock methods for nonlinear stiff initial value problems. Zbl 0478.65045
Verwer, J. G.
6
1982
Instructive experiments with some Runge-Kutta-Rosenbrock methods. Zbl 0481.65037
Verwer, Jan G.
3
1982
A note on a Runge-Kutta-Chebyshev method. Zbl 0531.65040
Verwer, J. G.
3
1982
A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations. Zbl 0478.65044
Verwer, J. G.; Scholz, S.; Blom, J. G.; Louter-Nool, M.
1
1982
On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations. Zbl 0453.65062
Sommeijer, B. P.; van der Houwen, P. J.; Verwer, J. G.
11
1981
On the practical value of the notion of BN-stability. Zbl 0476.65055
Verwer, J. G.
6
1981
Forced prey-predator oscillations. Zbl 0464.92020
Blom, J. G.; de Bruin, R.; Grasman, J.; Verwer, J. G.
2
1981
Instructive experiments with some Runge-Kutta-Rosenbrock methods. Zbl 0455.65056
Verwer, J. G.
1
1981
An implementation of a class of stabilized explicit methods for the time integration of parabolic equations. Zbl 0431.65069
Verwer, J. G.
11
1980
A performance evaluation of a class of Runge-Kutta-Chebyshev methods for solving semi-discrete parabolic differential equations. Zbl 0441.65070
Sommeijer, B. P.; Verwer, J. G.
6
1980
Rosenbrock methods and time-lagged Jacobian matrices. Zbl 0427.65051
Verwer, J. G.; Scholz, S.
3
1980
On generalized Runge-Kutta methods using an exact Jacobian at a non-step point. Zbl 0455.65054
Verwer, J. G.
2
1980
On a class of explicit three-step Runge-Kutta methods with extended real stability intervals. Zbl 0455.65055
Verwer, J. G.
1
1980
Forced prey-predator oscillations. Zbl 0429.92019
Blom, J. G.; De Bruin, R.; Grasman, J.; Verwer, J. G.
1
1980
One-step splitting methods for semi-discrete parabolic equations. Zbl 0396.65053
van der Houwen, P. J.; Verwer, J. G.
18
1979
Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative. Zbl 0414.65057
van der Houwen, P. J.; Sommeijer, B. P.; Verwer, J. G.
2
1979
On a class of explicit three-step Runge-Kutta methods with extended real stability intervals. Zbl 0417.65039
Verwer, J. G.
1
1979
S-stability properties for generalized Runge-Kutta methods. Zbl 0336.65036
Verwer, J. G.
11
1977
On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root. Zbl 0326.65045
Verwer, J. G.
7
1977
A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations. Zbl 0373.65030
Verwer, J. G.
5
1977
A general formulation of linear splitting methods for ordinary and partial differential equations. Zbl 0381.65040
van der Houwen, P. J.; Verwer, J. G.
1
1977
Comparing stabilized Runge-Kutta methods for semidiscretized parabolic and hyperbolic equations. Zbl 0381.65048
Dekker, K.; van der Houwen, P. J.; Verwer, J. G.; Wolkenfelt, P. H. M.
1
1977
Non-linear splitting methods for semidiscretized parabolic differential equations. Zbl 0399.35001
van der Houwen, P. J.; Verwer, J. G.
1
1977
Multipoint multistep Runge-Kutta methods. I: On a class of two-step methods for parabolic equations. Zbl 0332.65043
Verwer, J. G.
4
1976
...and 5 more Documents
all top 5

Cited by 1,899 Authors

52 Verwer, Jan G.
37 Weiner, Rüdiger
34 Hundsdorfer, Willem H.
26 Sandu, Adrian
24 Jackiewicz, Zdzislaw
22 González-Pinto, Severiano
20 Faragó, István
20 Ostermann, Alexander
20 Sommeijer, Ben P.
16 in ’t Hout, Karel J.
16 Kulikov, Gennady Yur’evich
16 Spijker, Marc N.
15 Geiser, Jürgen
15 Havasi, Ágnes
15 Pérez Rodríguez, S.
15 Zlatev, Zahari
14 Čiegis, Raimondas
14 Hernandez-Abreu, Domingo
14 Vabishchevich, Pëtr Nikolaevich
13 Dehghan Takht Fooladi, Mehdi
13 Khaliq, Abdul Q. M.
13 Lang, Jens
13 Li, Shoufu
12 Jorge, Juan Carlos
12 Sanz-Serna, Jesús María
12 van der Houwen, Pieter J.
11 Hairer, Ernst
11 Izzo, Giuseppe
11 Zhang, Chengjian
10 Schneid, Josef
10 Trigiante, Donato
10 Vulkov, Lubin G.
10 Zennaro, Marino
9 Amodio, Pierluigi
9 Auzinger, Winfried
9 Gerisch, Alf
9 Hansen, Eskil
9 Liu, Mingzhu
9 Mazzia, Francesca
9 Minion, Michael L.
9 Montijano, Juan Ignacio
9 Najm, Habib N.
9 Portero, Laura
9 Strehmel, Karl
9 Zhang, Yongtao
8 Higueras, Inmaculada
8 Hochbruck, Marlis
8 Ketcheson, David I.
8 Knoth, Oswald
8 Kraaijevanger, J. F. B. M.
8 Martín-Vaquero, Jesús
8 Sheng, Qin
8 Trenchea, Catalin
8 Xiao, Aiguo
7 Blom, Joke G.
7 Cardone, Angelamaria
7 Dekker, Kees
7 Dimov, Ivan Todor
7 Frank, Reinhard
7 Georgiev, Krassimir
7 Koleva, Miglena N.
7 Lubich, Christian
7 Rang, Joachim
7 Yang, Zhanwen
6 Arrarás, Andres
6 Bassi, Francesco
6 Brugnano, Luigi
6 Ferreira, José Augusto
6 Günther, Michael
6 Kirlinger, Gabriela
6 Layton, William J.
6 Podhaisky, Helmut
6 Spiteri, Raymond J.
6 Warnecke, Gerald G.
6 Xu, Yang
5 Abdulle, Assyr
5 Akrivis, Georgios D.
5 Alonso-Mallo, Isaías
5 Braś, Michał
5 Burrage, Kevin
5 Cano, Begoña
5 Carpenter, Mark H.
5 Einkemmer, Lukas
5 Fakhar-Izadi, Farhad
5 Grote, Marcus J.
5 Hartmann, Stefan
5 Higham, Desmond J.
5 Horváth, Zoltán
5 Huang, Chengming
5 Jiwari, Ram
5 Karakashian, Ohannes A.
5 Kennedy, Christopher A.
5 Kleefeld, B.
5 Koren, Barry
5 Kurganov, Alexander
5 Liang, Dong
5 Mackenzie, John A.
5 Mittal, Ramesh Chand
5 Palencia, Cesar
5 Pareschi, Lorenzo
...and 1,799 more Authors
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Cited in 202 Serials

211 Applied Numerical Mathematics
193 Journal of Computational and Applied Mathematics
134 Journal of Computational Physics
87 Applied Mathematics and Computation
66 Computers & Mathematics with Applications
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50 Journal of Scientific Computing
47 Numerische Mathematik
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32 SIAM Journal on Scientific Computing
30 International Journal of Computer Mathematics
25 Computer Methods in Applied Mechanics and Engineering
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19 Numerical Algorithms
15 Applied Mathematical Modelling
14 SIAM Journal on Numerical Analysis
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11 Journal of Mathematical Analysis and Applications
10 Applied Mathematics Letters
9 International Journal for Numerical Methods in Fluids
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9 Journal of Mathematical Chemistry
8 Physica D
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Numerical Functional Analysis and Optimization
7 Mathematical Modelling and Analysis
6 Bulletin of Mathematical Biology
6 International Journal for Numerical Methods in Engineering
6 Linear Algebra and its Applications
6 Communications in Numerical Methods in Engineering
6 Journal of Difference Equations and Applications
6 Mathematical Problems in Engineering
6 Abstract and Applied Analysis
5 Computer Physics Communications
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5 Communications in Nonlinear Science and Numerical Simulation
5 Combustion Theory and Modelling
5 Differential Equations
5 Nonlinear Analysis. Real World Applications
5 Computational Methods in Applied Mathematics
4 Journal of the Franklin Institute
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4 Lithuanian Mathematical Journal
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4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
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4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Japan Journal of Industrial and Applied Mathematics
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2 Computational Mechanics
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2 Journal of Computational Neuroscience
2 Discrete and Continuous Dynamical Systems
2 Journal of Inequalities and Applications
2 Discrete Dynamics in Nature and Society
2 Nonlinear Analysis. Modelling and Control
2 Archives of Computational Methods in Engineering
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Numerical Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Difference Equations
2 Mathematical Modelling of Natural Phenomena
2 Kinetic and Related Models
2 Advances in Numerical Analysis
2 International Journal of Differential Equations
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